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Finding the Fourth Proportional to 14,000.20, 20,957.10 and 8,139.40

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Solution

The fourth proportional to 14,000.20, 20,957.10 and 8,139.40 is: 12,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.20 : 20,957.10 = 8,139.40 : x
  2. Step 2: Convert to fraction form
    14,000.20/20,957.10 = 8,139.40/x
  3. Step 3: Cross multiply
    14,000.20x = 20,957.10 × 8,139.40
  4. Step 4: Simplify right side
    14,000.20x = 170,578,219.74
  5. Step 5: Solve for x
    x = 170,578,219.74/14,000.20
  6. Step 6: Final answer
    x = 12,183.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.